Compute Probability

Historically, the theory of probability began to develop with the study of games of chance such as roulette and cards. Apart from games, uncertainty also prevails in other walks of life such as business, economy, and even in day-to-day activities. Probability is a method which numerically calculate the degree of uncertainty and, therefore, of certainty of the occurrence of an event. In this article we shall discuss about compute probability with problem.


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Compute probability with example problem

To compute the probability the following formula used

Probability P (E)= Number occurrence of  the event
The total number of an event

To compute the probability the occurrence of an event in ratio the probability formula,

P (E) = m / (m + n)

Example:

An unbiased dice is rolled once; compute the probability of getting an even number in the dice

An unbiased dice is rolled once, the possible outcomes of sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, n(S)=6..

Getting an even number

Let E1 = event of getting even number when rolling a dice. Then,

E1= {2, 4, 6} and, therefore, n (E1) =3.

Therefore Probability of getting even number rolling a dice = P (E1) = n(E1) / n(S) = 3 / 6 = 1 / 2

Example:

A spinner has equal 6 parts of sectors colored with yellow, blue, white, green, orange and red. Spinning the spinner, compute the probability of leading yellow color?

Solution:

The possible outcomes of spinning the spinner events are yellow, blue, white, green, orange and red.

P (yellow) = Number of way leading yellow
Total number of colors

= 1/6.

Example:

Compute the probability of the occurrence of a event occur is 6/12;

Find (i) odds in favor of its occurrence, and (ii) the odds against its occurrence.

Solution:

Let there be m outcomes favorable to E and n outcomes unfavorable to E. then

P (E) = m / (m + n)

= m / m + n     here m=6 and m + n = 12

= 6 / 12

(i)      The odds in favor of E=  m / n   = 6 / 6 = 1

(ii)    The odd against E= n / m          =  6 / 6 = 1


My forthcoming post is on percent formula and iseet 2013 or 2014 will give you more understanding about Algebra.

Compute probability practice problem

Problem:

An unbiased dice is rolled once; compute the probability of getting an odd number in the dice

Answer:

1/2.

Problem:

A spinner has equal 6 parts of sectors colored with yellow, blue, white, green, orange and red. Spinning the spinner, compute the probability of leading white color?

Answer:

1/6